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Ultramicroscopy. 2009 Sep;109(10):1256-62. doi: 10.1016/j.ultramic.2009.05.012. Epub 2009 Jun 6.

An improved ptychographical phase retrieval algorithm for diffractive imaging.

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Department of Electrical and Electronic Engineering, University of Sheffield, UK.


The ptychographical iterative engine (or PIE) is a recently developed phase retrieval algorithm that employs a series of diffraction patterns recorded as a known illumination function is translated to a set of overlapping positions relative to a target sample. The technique has been demonstrated successfully at optical and X-ray wavelengths and has been shown to be robust to detector noise and to converge considerably faster than support-based phase retrieval methods. In this paper, the PIE is extended so that the requirement for an accurate model of the illumination function is removed.

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